报告题目：The fractional Laplacians

报告人：Professor Wenxiong Chen

报告人单位：南开大学、美国Yeshiva大学

报告时间：2018.05.25   16：00-17：00

报告地点：老主楼321学术交流厅

摘要：The fractional Laplacian is a non-local pseudo-differential operator defined by a singular integral. It is quite different from the traditional (local)differential operators.  

    In this talk, we will use simple examples to illustrate the essential differences between the local and nonlocal operators, such as the boundaryregularities and Poisson representations. We will show how to construct asuper solution to obtain Holder regularity of the solutions on the boundary; we will also show how to construct a sub-solution to prove a Hopf typelemma. If time possible, we will show the ideas on the proofs of interiorregularity - the Schauder estimate.    

报告人简介：陈文雄，南开大学数学学院讲座教授、美国Yeshiva大学数学系主任，主要研究方向为非线性偏微分方程，是分数阶和高阶椭圆型方程研究领域的国际学术带头人。已在Annal of Math.、Duke Math. J.、CPAM等国际顶尖权威学术期刊上发表学术论文80余篇，被引用超过2000次。

邀请人：戴蔚